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Finding the Third Proportional to 121,188 and 186,030

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Solution

The third proportional to 121,188 and 186,030 is: 285,565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,188 : 186,030 = 186,030 : x
  2. Step 2: Convert to fraction form
    121,188/186,030 = 186,030/x
  3. Step 3: Cross multiply
    121,188x = 186,030 × 186,030
  4. Step 4: Simplify right side
    121,188x = 34,607,160,900
  5. Step 5: Solve for x
    x = 34,607,160,900/121,188
  6. Step 6: Final answer
    x = 285,565.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.